Martingale-type convergence of modular automorphism groups on von Neumann algebras

DOI10.1016/0022-1236(84)90077-6zbMath0544.46037OpenAlexW2082910309MaRDI QIDQ796795

Fumio Hiai

Publication date: 1984

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(84)90077-6

zbMATH Keywords

conditional expectationleft Hilbert algebrasmodular automorphism groupTomita-Takesaki theoryassociated modular operatorConnes cocycle derivativesfaithful semifinite normal weightmartingale convergence in von Neumann algebras

Mathematics Subject Classification ID

Generalizations of martingales (60G48) General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Automorphisms of selfadjoint operator algebras (46L40) Hilbert algebras (46K15)

Related Items (2)

Strong Martingale Convergence of Generalized Conditional Expectations on Von Neumann Algebras ⋮ WEAK AND STRONG MARTINGALE CONVERGENCES OF GENERALIZED CONDITIONAL EXPECTATIONS IN NONCOMMUTATIVE L^p-SPACES

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